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We study renormalization group flows among N=1 SCFTs realized on the worldvolume of D3-branes probing toric Calabi-Yau singularities, thus admitting a brane tiling description.
A. Hanany and A. Zaffaroni, On the realization of chiral four-dimensional gauge theories using branes
1998
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I. R. Klebanov and E. Witten, Superconformal field theory on three-branes at a Calabi-Yau singularity
1998
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O. Aharony, A. Hanany, and B. Kol, Webs of (p,q) 5-branes, five dimensional field theories and grid diagrams
1998
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D. Anselmi, D. Freedman, M. T. Grisaru, and A. Johansen, Nonperturbative formulas for central functions of supersymmetric gauge theories
1998
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S. Gubser, N. Nekrasov, and S. Shatashvili, Generalized conifolds and 4-Dimensional N=1 SuperConformal Field Theory
1999
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D. R. Morrison and M. R. Plesser, Nonspherical horizons. 1
1999
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A. M. Uranga, Brane configurations for branes at conifolds
1999
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K. Dasgupta and S. Mukhi, Brane constructions, conifolds and M theory
1999
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R. von Unge, Branes at generalized conifolds and toric geometry
1999
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B. Feng, A. Hanany, and Y.-H. He, D-brane gauge theories from toric singularities and toric duality
2001
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B. Feng, A. Hanany, and Y.-H. He, Phase structure of D-brane gauge theories and toric duality
2001
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B. Feng, S. Franco, A. Hanany, and Y.-H. He, Symmetries of toric duality
2002
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B. Feng, S. Franco, A. Hanany, and Y.-H. He, Unhiggsing the del Pezzo
2003
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K. A. Intriligator and B. Wecht, The Exact superconformal R symmetry maximizes a
2003
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M. Cvetic, H. Lu, D. N. Page, and C. Pope, New Einstein-Sasaki spaces in five and higher dimensions
2005
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A. Butti, D. Forcella, and A. Zaffaroni, The Dual superconformal theory for L**pqr manifolds
2005
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A. Hanany, P. Kazakopoulos, and B. Wecht, A new infinite class of quiver gauge theories
2005
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A. Butti and A. Zaffaroni, R-charges from toric diagrams and the equivalence of a- maximization and Z-minimization
2005
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S. Benvenuti, S. Franco, A. Hanany, D. Martelli, and J. Sparks, An infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals
2005
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R. Blumenhagen, M. Cvetic, P. Langacker, and G. Shiu, Toward realistic intersecting D-brane models
2005
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S. Franco, A. Hanany, K. D. Kennaway, D. Vegh, and B. Wecht, Brane Dimers and Quiver Gauge Theories
2006
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S. Benvenuti and M. Kruczenski, From Sasaki-Einstein spaces to quivers via BPS geodesics: L**p,q—r
2006
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S. Franco et. al
2006
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S. Franco and D. Vegh, Moduli spaces of gauge theories from dimer models: Proof of the correspondence
R. Blumenhagen, B. Kors, D. Lust, and S. Stieberger, Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
2007
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B. Feng, Y.-H. He, K. D. Kennaway, and C. Vafa, Dimer models from mirror symmetry and quivering amoebae
2008
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M. Billo, L. Ferro, M. Frau, F. Fucito, A. Lerda, et. al
2008
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N. Broomhead, Dimer models and Calabi-Yau algebras
2009
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2009
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2006
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D. Martelli, J. Sparks, and S.-T. Yau, The geometric dual of a-maximisation for toric Sasaki- Einstein manifolds
2006
Cited alongside, same era.
N. Halmagyi, K. Pilch, C. Romelsberger, and N. P. Warner, The Complex geometry of holographic flows of quiver gauge theories
2006
Cited alongside, same era.
A. Hanany and D. Vegh, Quivers, tilings, branes and rhombi
2007
Cited alongside, same era.
S. Benvenuti, B. Feng, A. Hanany, and Y.-H. He, Counting BPS operators in gauge theories: Quivers, syzygies and plethystics
2007
Cited alongside, same era.
B. Feng, A. Hanany, and Y.-H. He, Counting Gauge Invariants: the Plethystic Program
2007
Cited alongside, same era.
A. Butti, A. Zaffaroni, and D. Forcella, Deformations of conformal theories and non-toric quiver gauge theories
2007
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2009
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M. Bianchi and M. Samsonyan, Notes on unoriented D-brane instantons
2009
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J. Davey, A. Hanany, and R.-K. Seong, Counting Orbifolds
2010
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A. Hanany, D. Orlando, and S. Reffert, Sublattice Counting and Orbifolds
2010
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J. Davey, A. Hanany, and R.-K. Seong, An Introduction to Counting Orbifolds
2011
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A. Hanany and R.-K. Seong, Symmetries of Abelian Orbifolds
2011
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A. Hanany, V. Jejjala, S. Ramgoolam, and R.-K. Seong, Calabi-Yau Orbifolds and Torus Coverings
2011
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R. Bocklandt, Consistency conditions for dimer models
2011
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Z. Komargodski and A. Schwimmer, On Renormalization Group Flows in Four Dimensions
2011
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A. Hanany and R.-K. Seong, Brane Tilings and Reflexive Polygons
2012
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R. Eager, Equivalence of A-Maximization and Volume Minimization
2014
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